Answer:
495
Step-by-step explanation:
To find this you have to find the LCM of the two times which in this case is 33 and 45. The LCM of those two is 495.
Answer:
Step-by-step explanation:
Let x represent the number of attendees that it will take the company to break even.
The company pays a flat fee of $98 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $16 to purchase books and supplies. This means that the total cost that the company would pay for x attendees is
16x + 98
Each attendee will pay $65 for the seminar. This means that the total revenue that the company would generate from x attendees is 65x.
At the break even point,
total cost = total revenue
Therefore,
16x + 90 = 65x
65x - 16x = 98
49x = 98
x = 98/49
x = 2
It will take 2 attendees and the total expenses and revenues is
2 × 65 = $130
Answer:
6.5 cm
Step-by-step explanation:
The computation of the length of the apothem is shown below:
Given that
The side length is 9.4 centimeters
And, the radius is 8 centimeters
Now based on the above information
As per the attached figure
AB = 8 cm
BC = 9.4 ÷ 2 = 4.7 cm
Now apply the pythagoras theorem
AB^2 = BC^2 + AC^2
8^2 = 4.7^2 + AC^2
AC^2 = 41.91
AC = 6.47 cm
= 6.5 cm
Answer:
3 and 11
Step-by-step explanation:
Given 2 sides with third side x , then
difference of 2 sides < x < sum of 2 sides , that is
7 - 4 < x < 7 + 4
3 < x < 11
Thus the possible values the third side cannot be are 3 and 11
Answer:
I believe that the answer is 24.